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Hexagon Shaft Torsion

This calculator calculates the maximum allowable torsion for a regular hexagonal shaft. This is done using the equation below.

T=0.123×τmax×D3=0.189×τmax×b3T = 0.123\times \tau_{max}\times D^3 \\= 0.189\times \tau_{max}\times b^3

The following are the variables for the equations...

  1. T = the torsion, twisting torque or tension. (Nm, lb f ft).
  1. τ (max) = maximum shear stress (Pa).
  1. b = side length of the
  1. D = the outer diameter of the circle (m).
Figure 1: Diagram of the Hexagonal Shaft to Calculate the Torsion



Hexagonal Shaft Torsion Calculator

Inputs



Max shear stress, τ (max)
:40.00Pa​



Side length, b
:7.00m​



Diameter, D
:16.00m​


Output



Torsion, T (eqn 1)
:20,152.32Pa​


Tequation 1=0.123×τmax×D3T_{equation\ 1} = 0.123\times \tau_{max}\times D^3


Torsion, T (eqn 2)
:2,593.08Pa​


Tequation 2=0.189×τmax×b3T_{equation\ 2} = 0.189\times \tau_{max}\times b^3

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